Yes, it is entirely legal. In fact, if you are licensed in any state that has a mutual recognition agreement with Florida (and Georgia just happens to have such an agreement), you can skip the prelicense education requirement and simply pass a 40-question exam on Florida license law to procure your Florida sales associate license. I'm including links to the relevant pages for your convenience:
If you decide to go for a mutual recognition license, we have a great mutual recognition exam prep program
you can use to study for the exam. Please feel free to post additional questions here or give us a call at 1-800-999-9319 and we will be happy to assist you.